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A056442 Number of primitive (period n) step cyclic shifted sequence structures using a maximum of five different symbols. 2
1, 1, 2, 5, 7, 32, 34, 194, 390, 2361, 3970, 46053, 66674, 613403, 2139340, 10016638, 23424252, 294722828, 465082930, 4972759447, 15773188776, 90323059973, 196342666486, 2587522616960, 4967200045389, 39800811833713 (list; graph; refs; listen; history; internal format)
OFFSET

1,3

COMMENTS

See A056371 for an explanation of step shifts. Under step cyclic shifts, abcde, bdace, bcdea, cdeab and daceb etc. are equivalent. Permuting the symbols will not change the structure.

REFERENCES

M. R. Nester (1999). Mathematical investigations of some plant interaction designs. PhD Thesis. University of Queensland, Brisbane, Australia.

FORMULA

sum mu(d)*A056432(n/d) where d|n.

CROSSREFS

Cf. A056422.

Sequence in context: A174288 A118786 A083777 * A056443 A042931 A085394

Adjacent sequences:  A056439 A056440 A056441 * A056443 A056444 A056445

KEYWORD

nonn

AUTHOR

Marks R. Nester (nesterm(AT)dpi.qld.gov.au)

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Last modified February 15 20:03 EST 2012. Contains 205852 sequences.